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| FUZZY PRETOPOLOGICAL SPACES, AN EXTENSIONAL TOPOLOGICALEXTENSION OF FTS |
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Citation： |
ZHANG Dexue.FUZZY PRETOPOLOGICAL SPACES, AN EXTENSIONAL TOPOLOGICALEXTENSION OF FTS[J].Chinese Annals of Mathematics B,1999,20(3):309~316 |
| Page view： 1231
Net amount： 696 |
Authors： |
ZHANG Dexue; |
Foundation： |
National Natural Science
Foundation of China |
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| Abstract： |
The category of fuzzy pretopological spaces is introduced,
and it is proved that this category is a well-fibred extensional
topological construct, and it is a finally dense extension of the category
of fuzzy topological spaces. Moreover this category contains both the
category of pretopological spaces and the category of probabilistic
neighbourhood spaces as simultaneously bireflective and bicoreflective full
subcategories. |
Keywords： |
Fuzzy topological spaces, Fuzzy pretopological spaces,
Extensional topological category |
Classification： |
54A40, 54B30, 18B30 |
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